Properties

Label 552.2.t.b.451.8
Level $552$
Weight $2$
Character 552.451
Analytic conductor $4.408$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.t (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 451.8
Character \(\chi\) \(=\) 552.451
Dual form 552.2.t.b.235.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.908309 + 1.08396i) q^{2} +(-0.654861 - 0.755750i) q^{3} +(-0.349950 - 1.96915i) q^{4} +(0.242976 + 1.68993i) q^{5} +(1.41402 - 0.0233904i) q^{6} +(2.11419 - 4.62943i) q^{7} +(2.45234 + 1.40926i) q^{8} +(-0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(q+(-0.908309 + 1.08396i) q^{2} +(-0.654861 - 0.755750i) q^{3} +(-0.349950 - 1.96915i) q^{4} +(0.242976 + 1.68993i) q^{5} +(1.41402 - 0.0233904i) q^{6} +(2.11419 - 4.62943i) q^{7} +(2.45234 + 1.40926i) q^{8} +(-0.142315 + 0.989821i) q^{9} +(-2.05252 - 1.27160i) q^{10} +(0.346244 - 1.17920i) q^{11} +(-1.25901 + 1.55399i) q^{12} +(-4.65266 + 2.12480i) q^{13} +(3.09779 + 6.49666i) q^{14} +(1.11805 - 1.29030i) q^{15} +(-3.75507 + 1.37820i) q^{16} +(0.812569 - 1.26438i) q^{17} +(-0.943664 - 1.05333i) q^{18} +(-3.59618 - 5.59577i) q^{19} +(3.24269 - 1.06985i) q^{20} +(-4.88319 + 1.43383i) q^{21} +(0.963712 + 1.44639i) q^{22} +(-4.59382 + 1.37726i) q^{23} +(-0.540895 - 2.77623i) q^{24} +(2.00063 - 0.587439i) q^{25} +(1.92285 - 6.97329i) q^{26} +(0.841254 - 0.540641i) q^{27} +(-9.85588 - 2.54308i) q^{28} +(1.37315 - 2.13666i) q^{29} +(0.383100 + 2.38391i) q^{30} +(3.02877 + 2.62444i) q^{31} +(1.91684 - 5.32219i) q^{32} +(-1.11792 + 0.510538i) q^{33} +(0.632479 + 2.02924i) q^{34} +(8.33712 + 2.44800i) q^{35} +(1.99891 - 0.0661490i) q^{36} +(0.401825 - 2.79476i) q^{37} +(9.33205 + 1.18456i) q^{38} +(4.65266 + 2.12480i) q^{39} +(-1.78570 + 4.48671i) q^{40} +(-1.80058 - 12.5233i) q^{41} +(2.88122 - 6.59556i) q^{42} +(3.95821 - 3.42980i) q^{43} +(-2.44318 - 0.269145i) q^{44} -1.70731 q^{45} +(2.67970 - 6.23050i) q^{46} -8.25794i q^{47} +(3.50063 + 1.93536i) q^{48} +(-12.3778 - 14.2847i) q^{49} +(-1.18043 + 2.70219i) q^{50} +(-1.48768 + 0.213895i) q^{51} +(5.81224 + 8.41820i) q^{52} +(-4.54358 + 9.94905i) q^{53} +(-0.178084 + 1.40296i) q^{54} +(2.07690 + 0.298613i) q^{55} +(11.7088 - 8.37351i) q^{56} +(-1.87400 + 6.38226i) q^{57} +(1.06881 + 3.42918i) q^{58} +(-0.636378 - 1.39347i) q^{59} +(-2.93205 - 1.75006i) q^{60} +(-1.52150 + 1.75591i) q^{61} +(-5.59585 + 0.899266i) q^{62} +(4.28143 + 2.75151i) q^{63} +(4.02797 + 6.91198i) q^{64} +(-4.72125 - 7.34641i) q^{65} +(0.462014 - 1.67551i) q^{66} +(0.0236764 + 0.0806344i) q^{67} +(-2.77411 - 1.15760i) q^{68} +(4.04918 + 2.56986i) q^{69} +(-10.2262 + 6.81359i) q^{70} +(2.59591 + 8.84086i) q^{71} +(-1.74392 + 2.22682i) q^{72} +(12.7911 - 8.22033i) q^{73} +(2.66443 + 2.97407i) q^{74} +(-1.75409 - 1.12729i) q^{75} +(-9.76040 + 9.03964i) q^{76} +(-4.72700 - 4.09597i) q^{77} +(-6.52926 + 3.11334i) q^{78} +(-2.81419 - 6.16221i) q^{79} +(-3.24146 - 6.01094i) q^{80} +(-0.959493 - 0.281733i) q^{81} +(15.2103 + 9.42326i) q^{82} +(0.205000 + 0.0294746i) q^{83} +(4.53230 + 9.11394i) q^{84} +(2.33415 + 1.06597i) q^{85} +(0.122506 + 7.40587i) q^{86} +(-2.51400 + 0.361458i) q^{87} +(2.51091 - 2.40385i) q^{88} +(-1.02185 + 0.885439i) q^{89} +(1.55076 - 1.85066i) q^{90} +26.0314i q^{91} +(4.31964 + 8.56392i) q^{92} -4.00763i q^{93} +(8.95129 + 7.50076i) q^{94} +(8.58268 - 7.43694i) q^{95} +(-5.27751 + 2.03664i) q^{96} +(-10.6151 + 1.52623i) q^{97} +(26.7270 - 0.442112i) q^{98} +(1.11792 + 0.510538i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 4q^{2} - 24q^{3} - 4q^{4} - 7q^{6} + 4q^{8} - 24q^{9} + O(q^{10}) \) \( 240q + 4q^{2} - 24q^{3} - 4q^{4} - 7q^{6} + 4q^{8} - 24q^{9} - 4q^{12} - 4q^{16} - 44q^{17} + 4q^{18} + 55q^{20} + 4q^{24} - 24q^{25} - 24q^{27} + 4q^{32} - 55q^{34} + 7q^{36} + 22q^{38} + 11q^{40} - 44q^{42} + 77q^{44} - 48q^{46} + 51q^{48} + 8q^{49} - 33q^{50} + 165q^{52} - 7q^{54} - 22q^{56} - 59q^{58} + 11q^{60} + 29q^{62} - 4q^{64} + 55q^{66} + 132q^{70} + 4q^{72} - 144q^{73} - 66q^{74} - 24q^{75} - 55q^{76} - 24q^{81} - 26q^{82} - 44q^{84} - 110q^{86} - 198q^{88} - 47q^{92} - 73q^{94} + 4q^{96} + 53q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{21}{22}\right)\) \(1\) \(-1\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.908309 + 1.08396i −0.642271 + 0.766477i
\(3\) −0.654861 0.755750i −0.378084 0.436332i
\(4\) −0.349950 1.96915i −0.174975 0.984573i
\(5\) 0.242976 + 1.68993i 0.108662 + 0.755761i 0.969182 + 0.246345i \(0.0792295\pi\)
−0.860520 + 0.509416i \(0.829861\pi\)
\(6\) 1.41402 0.0233904i 0.577271 0.00954909i
\(7\) 2.11419 4.62943i 0.799089 1.74976i 0.150516 0.988608i \(-0.451906\pi\)
0.648573 0.761153i \(-0.275366\pi\)
\(8\) 2.45234 + 1.40926i 0.867034 + 0.498249i
\(9\) −0.142315 + 0.989821i −0.0474383 + 0.329940i
\(10\) −2.05252 1.27160i −0.649064 0.402116i
\(11\) 0.346244 1.17920i 0.104397 0.355542i −0.890683 0.454626i \(-0.849773\pi\)
0.995079 + 0.0990837i \(0.0315912\pi\)
\(12\) −1.25901 + 1.55399i −0.363446 + 0.448598i
\(13\) −4.65266 + 2.12480i −1.29042 + 0.589314i −0.938034 0.346543i \(-0.887356\pi\)
−0.352382 + 0.935856i \(0.614628\pi\)
\(14\) 3.09779 + 6.49666i 0.827920 + 1.73630i
\(15\) 1.11805 1.29030i 0.288679 0.333154i
\(16\) −3.75507 + 1.37820i −0.938768 + 0.344551i
\(17\) 0.812569 1.26438i 0.197077 0.306658i −0.728624 0.684914i \(-0.759840\pi\)
0.925701 + 0.378256i \(0.123476\pi\)
\(18\) −0.943664 1.05333i −0.222424 0.248272i
\(19\) −3.59618 5.59577i −0.825021 1.28376i −0.956293 0.292411i \(-0.905542\pi\)
0.131272 0.991346i \(-0.458094\pi\)
\(20\) 3.24269 1.06985i 0.725088 0.239225i
\(21\) −4.88319 + 1.43383i −1.06560 + 0.312888i
\(22\) 0.963712 + 1.44639i 0.205464 + 0.308372i
\(23\) −4.59382 + 1.37726i −0.957877 + 0.287179i
\(24\) −0.540895 2.77623i −0.110410 0.566695i
\(25\) 2.00063 0.587439i 0.400126 0.117488i
\(26\) 1.92285 6.97329i 0.377102 1.36757i
\(27\) 0.841254 0.540641i 0.161899 0.104046i
\(28\) −9.85588 2.54308i −1.86259 0.480597i
\(29\) 1.37315 2.13666i 0.254987 0.396767i −0.690034 0.723777i \(-0.742405\pi\)
0.945021 + 0.327010i \(0.106041\pi\)
\(30\) 0.383100 + 2.38391i 0.0699443 + 0.435241i
\(31\) 3.02877 + 2.62444i 0.543983 + 0.471364i 0.882971 0.469427i \(-0.155539\pi\)
−0.338989 + 0.940790i \(0.610085\pi\)
\(32\) 1.91684 5.32219i 0.338853 0.940839i
\(33\) −1.11792 + 0.510538i −0.194605 + 0.0888732i
\(34\) 0.632479 + 2.02924i 0.108469 + 0.348012i
\(35\) 8.33712 + 2.44800i 1.40923 + 0.413787i
\(36\) 1.99891 0.0661490i 0.333151 0.0110248i
\(37\) 0.401825 2.79476i 0.0660597 0.459455i −0.929764 0.368156i \(-0.879989\pi\)
0.995824 0.0912988i \(-0.0291018\pi\)
\(38\) 9.33205 + 1.18456i 1.51386 + 0.192161i
\(39\) 4.65266 + 2.12480i 0.745022 + 0.340240i
\(40\) −1.78570 + 4.48671i −0.282343 + 0.709411i
\(41\) −1.80058 12.5233i −0.281203 1.95581i −0.293734 0.955887i \(-0.594898\pi\)
0.0125310 0.999921i \(-0.496011\pi\)
\(42\) 2.88122 6.59556i 0.444582 1.01772i
\(43\) 3.95821 3.42980i 0.603621 0.523040i −0.298564 0.954390i \(-0.596508\pi\)
0.902185 + 0.431349i \(0.141962\pi\)
\(44\) −2.44318 0.269145i −0.368324 0.0405751i
\(45\) −1.70731 −0.254511
\(46\) 2.67970 6.23050i 0.395101 0.918638i
\(47\) 8.25794i 1.20454i −0.798291 0.602272i \(-0.794262\pi\)
0.798291 0.602272i \(-0.205738\pi\)
\(48\) 3.50063 + 1.93536i 0.505272 + 0.279345i
\(49\) −12.3778 14.2847i −1.76826 2.04068i
\(50\) −1.18043 + 2.70219i −0.166938 + 0.382147i
\(51\) −1.48768 + 0.213895i −0.208316 + 0.0299514i
\(52\) 5.81224 + 8.41820i 0.806013 + 1.16739i
\(53\) −4.54358 + 9.94905i −0.624108 + 1.36661i 0.288385 + 0.957515i \(0.406882\pi\)
−0.912493 + 0.409092i \(0.865845\pi\)
\(54\) −0.178084 + 1.40296i −0.0242341 + 0.190918i
\(55\) 2.07690 + 0.298613i 0.280049 + 0.0402649i
\(56\) 11.7088 8.37351i 1.56465 1.11896i
\(57\) −1.87400 + 6.38226i −0.248218 + 0.845351i
\(58\) 1.06881 + 3.42918i 0.140342 + 0.450274i
\(59\) −0.636378 1.39347i −0.0828493 0.181415i 0.863673 0.504052i \(-0.168158\pi\)
−0.946523 + 0.322637i \(0.895431\pi\)
\(60\) −2.93205 1.75006i −0.378526 0.225932i
\(61\) −1.52150 + 1.75591i −0.194808 + 0.224821i −0.844747 0.535166i \(-0.820249\pi\)
0.649939 + 0.759987i \(0.274795\pi\)
\(62\) −5.59585 + 0.899266i −0.710674 + 0.114207i
\(63\) 4.28143 + 2.75151i 0.539409 + 0.346657i
\(64\) 4.02797 + 6.91198i 0.503496 + 0.863997i
\(65\) −4.72125 7.34641i −0.585599 0.911210i
\(66\) 0.462014 1.67551i 0.0568701 0.206241i
\(67\) 0.0236764 + 0.0806344i 0.00289253 + 0.00985106i 0.960927 0.276803i \(-0.0892750\pi\)
−0.958034 + 0.286654i \(0.907457\pi\)
\(68\) −2.77411 1.15760i −0.336410 0.140379i
\(69\) 4.04918 + 2.56986i 0.487463 + 0.309375i
\(70\) −10.2262 + 6.81359i −1.22227 + 0.814379i
\(71\) 2.59591 + 8.84086i 0.308078 + 1.04922i 0.957415 + 0.288716i \(0.0932285\pi\)
−0.649337 + 0.760501i \(0.724953\pi\)
\(72\) −1.74392 + 2.22682i −0.205523 + 0.262434i
\(73\) 12.7911 8.22033i 1.49708 0.962117i 0.501813 0.864976i \(-0.332667\pi\)
0.995271 0.0971406i \(-0.0309696\pi\)
\(74\) 2.66443 + 2.97407i 0.309734 + 0.345728i
\(75\) −1.75409 1.12729i −0.202545 0.130168i
\(76\) −9.76040 + 9.03964i −1.11959 + 1.03692i
\(77\) −4.72700 4.09597i −0.538691 0.466779i
\(78\) −6.52926 + 3.11334i −0.739293 + 0.352516i
\(79\) −2.81419 6.16221i −0.316621 0.693303i 0.682679 0.730718i \(-0.260815\pi\)
−0.999300 + 0.0374155i \(0.988087\pi\)
\(80\) −3.24146 6.01094i −0.362406 0.672044i
\(81\) −0.959493 0.281733i −0.106610 0.0313036i
\(82\) 15.2103 + 9.42326i 1.67969 + 1.04062i
\(83\) 0.205000 + 0.0294746i 0.0225017 + 0.00323525i 0.153556 0.988140i \(-0.450927\pi\)
−0.131055 + 0.991375i \(0.541836\pi\)
\(84\) 4.53230 + 9.11394i 0.494514 + 0.994413i
\(85\) 2.33415 + 1.06597i 0.253175 + 0.115621i
\(86\) 0.122506 + 7.40587i 0.0132102 + 0.798595i
\(87\) −2.51400 + 0.361458i −0.269529 + 0.0387524i
\(88\) 2.51091 2.40385i 0.267664 0.256252i
\(89\) −1.02185 + 0.885439i −0.108316 + 0.0938564i −0.707335 0.706878i \(-0.750103\pi\)
0.599019 + 0.800735i \(0.295557\pi\)
\(90\) 1.55076 1.85066i 0.163465 0.195077i
\(91\) 26.0314i 2.72883i
\(92\) 4.31964 + 8.56392i 0.450353 + 0.892851i
\(93\) 4.00763i 0.415572i
\(94\) 8.95129 + 7.50076i 0.923255 + 0.773644i
\(95\) 8.58268 7.43694i 0.880565 0.763014i
\(96\) −5.27751 + 2.03664i −0.538633 + 0.207864i
\(97\) −10.6151 + 1.52623i −1.07780 + 0.154965i −0.658275 0.752777i \(-0.728714\pi\)
−0.419529 + 0.907742i \(0.637805\pi\)
\(98\) 26.7270 0.442112i 2.69983 0.0446600i
\(99\) 1.11792 + 0.510538i 0.112355 + 0.0513110i
\(100\) −1.85687 3.73396i −0.185687 0.373396i
\(101\) 14.9234 + 2.14566i 1.48494 + 0.213502i 0.836584 0.547839i \(-0.184549\pi\)
0.648352 + 0.761340i \(0.275458\pi\)
\(102\) 1.11941 1.80687i 0.110839 0.178907i
\(103\) −6.15845 1.80828i −0.606810 0.178176i −0.0361288 0.999347i \(-0.511503\pi\)
−0.570681 + 0.821172i \(0.693321\pi\)
\(104\) −14.4043 1.34608i −1.41246 0.131994i
\(105\) −3.60958 7.90387i −0.352259 0.771339i
\(106\) −6.65742 13.9619i −0.646626 1.35610i
\(107\) 0.827657 + 0.717169i 0.0800126 + 0.0693313i 0.693949 0.720024i \(-0.255869\pi\)
−0.613936 + 0.789356i \(0.710415\pi\)
\(108\) −1.35900 1.46735i −0.130770 0.141196i
\(109\) −13.6118 8.74778i −1.30378 0.837886i −0.310158 0.950685i \(-0.600382\pi\)
−0.993618 + 0.112799i \(0.964018\pi\)
\(110\) −2.21015 + 1.98005i −0.210729 + 0.188790i
\(111\) −2.37528 + 1.52650i −0.225451 + 0.144889i
\(112\) −1.55864 + 20.2976i −0.147277 + 1.91795i
\(113\) 3.61972 + 12.3276i 0.340515 + 1.15969i 0.934723 + 0.355376i \(0.115647\pi\)
−0.594208 + 0.804311i \(0.702535\pi\)
\(114\) −5.21596 7.82841i −0.488520 0.733198i
\(115\) −3.44367 7.42860i −0.321123 0.692720i
\(116\) −4.68792 1.95620i −0.435262 0.181629i
\(117\) −1.44103 4.90770i −0.133223 0.453717i
\(118\) 2.08850 + 0.575894i 0.192262 + 0.0530154i
\(119\) −4.13544 6.43488i −0.379095 0.589884i
\(120\) 4.56021 1.58863i 0.416288 0.145021i
\(121\) 7.98316 + 5.13047i 0.725742 + 0.466406i
\(122\) −0.521343 3.24416i −0.0472002 0.293712i
\(123\) −8.28534 + 9.56179i −0.747064 + 0.862158i
\(124\) 4.10799 6.88251i 0.368909 0.618067i
\(125\) 5.02505 + 11.0033i 0.449454 + 0.984167i
\(126\) −6.87139 + 2.14169i −0.612152 + 0.190797i
\(127\) −1.65863 + 5.64878i −0.147180 + 0.501248i −0.999773 0.0213278i \(-0.993211\pi\)
0.852593 + 0.522576i \(0.175029\pi\)
\(128\) −11.1510 1.91205i −0.985616 0.169003i
\(129\) −5.18415 0.745368i −0.456439 0.0656260i
\(130\) 12.2516 + 1.55515i 1.07454 + 0.136396i
\(131\) 2.15435 4.71738i 0.188227 0.412159i −0.791867 0.610693i \(-0.790891\pi\)
0.980094 + 0.198534i \(0.0636181\pi\)
\(132\) 1.39654 + 2.02269i 0.121553 + 0.176052i
\(133\) −33.5082 + 4.81776i −2.90553 + 0.417753i
\(134\) −0.108910 0.0475766i −0.00940840 0.00410999i
\(135\) 1.11805 + 1.29030i 0.0962264 + 0.111051i
\(136\) 3.77454 1.95558i 0.323664 0.167689i
\(137\) 11.2286i 0.959322i 0.877454 + 0.479661i \(0.159240\pi\)
−0.877454 + 0.479661i \(0.840760\pi\)
\(138\) −6.46353 + 2.05493i −0.550213 + 0.174927i
\(139\) 19.1883 1.62753 0.813766 0.581192i \(-0.197414\pi\)
0.813766 + 0.581192i \(0.197414\pi\)
\(140\) 1.90290 17.2737i 0.160824 1.45989i
\(141\) −6.24093 + 5.40780i −0.525581 + 0.455419i
\(142\) −11.9411 5.21636i −1.00207 0.437748i
\(143\) 0.894606 + 6.22212i 0.0748107 + 0.520320i
\(144\) −0.829773 3.91299i −0.0691478 0.326082i
\(145\) 3.94444 + 1.80137i 0.327568 + 0.149595i
\(146\) −2.70773 + 21.3317i −0.224093 + 1.76542i
\(147\) −2.68995 + 18.7090i −0.221864 + 1.54310i
\(148\) −5.64390 + 0.186771i −0.463926 + 0.0153525i
\(149\) −1.99314 0.585238i −0.163284 0.0479446i 0.199069 0.979986i \(-0.436208\pi\)
−0.362353 + 0.932041i \(0.618026\pi\)
\(150\) 2.81519 0.877445i 0.229860 0.0716431i
\(151\) −3.38684 + 1.54672i −0.275617 + 0.125870i −0.548428 0.836197i \(-0.684774\pi\)
0.272812 + 0.962067i \(0.412046\pi\)
\(152\) −0.933175 18.7907i −0.0756905 1.52413i
\(153\) 1.13587 + 0.984238i 0.0918298 + 0.0795710i
\(154\) 8.73345 1.40348i 0.703761 0.113096i
\(155\) −3.69921 + 5.75609i −0.297128 + 0.462340i
\(156\) 2.55584 9.90535i 0.204631 0.793062i
\(157\) 3.08076 1.97989i 0.245872 0.158012i −0.411901 0.911229i \(-0.635135\pi\)
0.657773 + 0.753216i \(0.271499\pi\)
\(158\) 9.23576 + 2.54672i 0.734757 + 0.202606i
\(159\) 10.4944 3.08143i 0.832260 0.244374i
\(160\) 9.45989 + 1.94617i 0.747870 + 0.153858i
\(161\) −3.33626 + 24.1785i −0.262934 + 1.90554i
\(162\) 1.17690 0.784154i 0.0924663 0.0616090i
\(163\) −13.8858 + 4.07723i −1.08762 + 0.319353i −0.775922 0.630829i \(-0.782715\pi\)
−0.311695 + 0.950182i \(0.600897\pi\)
\(164\) −24.0301 + 7.92812i −1.87643 + 0.619082i
\(165\) −1.13440 1.76516i −0.0883130 0.137418i
\(166\) −0.218153 + 0.195440i −0.0169319 + 0.0151691i
\(167\) −3.87036 + 6.02239i −0.299497 + 0.466027i −0.958088 0.286475i \(-0.907517\pi\)
0.658591 + 0.752501i \(0.271153\pi\)
\(168\) −13.9959 3.36544i −1.07981 0.259649i
\(169\) 8.61931 9.94722i 0.663024 0.765170i
\(170\) −3.27561 + 1.56190i −0.251228 + 0.119793i
\(171\) 6.05060 2.76322i 0.462701 0.211309i
\(172\) −8.13896 6.59403i −0.620590 0.502790i
\(173\) 0.984625 3.35332i 0.0748597 0.254949i −0.913558 0.406709i \(-0.866676\pi\)
0.988417 + 0.151761i \(0.0484943\pi\)
\(174\) 1.89168 3.05339i 0.143408 0.231477i
\(175\) 1.51021 10.5037i 0.114161 0.794008i
\(176\) 0.325006 + 4.90517i 0.0244982 + 0.369741i
\(177\) −0.636378 + 1.39347i −0.0478331 + 0.104740i
\(178\) −0.0316262 1.91190i −0.00237048 0.143303i
\(179\) −1.16189 8.08110i −0.0868435 0.604010i −0.986045 0.166476i \(-0.946761\pi\)
0.899202 0.437534i \(-0.144148\pi\)
\(180\) 0.597472 + 3.36194i 0.0445330 + 0.250584i
\(181\) 3.26970 + 3.77344i 0.243035 + 0.280478i 0.864142 0.503249i \(-0.167862\pi\)
−0.621106 + 0.783726i \(0.713317\pi\)
\(182\) −28.2171 23.6446i −2.09159 1.75265i
\(183\) 2.32340 0.171751
\(184\) −13.2065 3.09636i −0.973599 0.228267i
\(185\) 4.82058 0.354416
\(186\) 4.34412 + 3.64017i 0.318527 + 0.266910i
\(187\) −1.20961 1.39597i −0.0884556 0.102083i
\(188\) −16.2611 + 2.88986i −1.18596 + 0.210765i
\(189\) −0.724289 5.03754i −0.0526843 0.366427i
\(190\) 0.265633 + 16.0583i 0.0192711 + 1.16499i
\(191\) 6.22031 13.6206i 0.450086 0.985551i −0.539550 0.841954i \(-0.681406\pi\)
0.989636 0.143598i \(-0.0458671\pi\)
\(192\) 2.58597 7.57052i 0.186626 0.546355i
\(193\) −0.603284 + 4.19593i −0.0434253 + 0.302030i 0.956521 + 0.291664i \(0.0942088\pi\)
−0.999946 + 0.0103661i \(0.996700\pi\)
\(194\) 7.98746 12.8927i 0.573466 0.925642i
\(195\) −2.46028 + 8.37896i −0.176185 + 0.600030i
\(196\) −23.7971 + 29.3726i −1.69980 + 2.09805i
\(197\) −14.4059 + 6.57896i −1.02638 + 0.468732i −0.856180 0.516678i \(-0.827168\pi\)
−0.170199 + 0.985410i \(0.554441\pi\)
\(198\) −1.56882 + 0.748059i −0.111491 + 0.0531622i
\(199\) 7.88788 9.10310i 0.559157 0.645302i −0.403835 0.914832i \(-0.632323\pi\)
0.962992 + 0.269530i \(0.0868684\pi\)
\(200\) 5.73409 + 1.37881i 0.405461 + 0.0974967i
\(201\) 0.0454347 0.0706977i 0.00320471 0.00498663i
\(202\) −15.8809 + 14.2275i −1.11738 + 1.00104i
\(203\) −6.98841 10.8742i −0.490490 0.763218i
\(204\) 0.941803 + 2.85460i 0.0659394 + 0.199862i
\(205\) 20.7260 6.08570i 1.44757 0.425044i
\(206\) 7.55389 5.03305i 0.526304 0.350669i
\(207\) −0.709476 4.74306i −0.0493120 0.329666i
\(208\) 14.5427 14.3911i 1.00835 0.997843i
\(209\) −7.84369 + 2.30311i −0.542559 + 0.159310i
\(210\) 11.8461 + 3.26651i 0.817460 + 0.225411i
\(211\) 12.2749 7.88862i 0.845041 0.543075i −0.0449833 0.998988i \(-0.514323\pi\)
0.890024 + 0.455913i \(0.150687\pi\)
\(212\) 21.1811 + 5.46530i 1.45473 + 0.375358i
\(213\) 4.98152 7.75139i 0.341328 0.531117i
\(214\) −1.52915 + 0.245738i −0.104531 + 0.0167983i
\(215\) 6.75788 + 5.85574i 0.460884 + 0.399358i
\(216\) 2.82495 0.140291i 0.192213 0.00954560i
\(217\) 18.5531 8.47290i 1.25946 0.575178i
\(218\) 21.8460 6.80901i 1.47960 0.461164i
\(219\) −14.5889 4.28368i −0.985826 0.289465i
\(220\) −0.138797 4.19421i −0.00935771 0.282774i
\(221\) −1.09405 + 7.60929i −0.0735938 + 0.511856i
\(222\) 0.502819 3.96124i 0.0337470 0.265861i
\(223\) 23.8568 + 10.8950i 1.59757 + 0.729584i 0.997520 0.0703814i \(-0.0224216\pi\)
0.600046 + 0.799965i \(0.295149\pi\)
\(224\) −20.5861 20.1260i −1.37547 1.34473i
\(225\) 0.296740 + 2.06387i 0.0197826 + 0.137591i
\(226\) −16.6505 7.27367i −1.10758 0.483837i
\(227\) −5.20499 + 4.51015i −0.345467 + 0.299349i −0.810260 0.586070i \(-0.800674\pi\)
0.464793 + 0.885419i \(0.346129\pi\)
\(228\) 13.2234 + 1.45671i 0.875742 + 0.0964731i
\(229\) 20.0073 1.32212 0.661060 0.750333i \(-0.270107\pi\)
0.661060 + 0.750333i \(0.270107\pi\)
\(230\) 11.1802 + 3.01466i 0.737203 + 0.198780i
\(231\) 6.25471i 0.411530i
\(232\) 6.37853 3.30469i 0.418771 0.216964i
\(233\) 15.4447 + 17.8241i 1.01182 + 1.16770i 0.985781 + 0.168036i \(0.0537426\pi\)
0.0260347 + 0.999661i \(0.491712\pi\)
\(234\) 6.62866 + 2.89568i 0.433329 + 0.189297i
\(235\) 13.9553 2.00648i 0.910347 0.130888i
\(236\) −2.52125 + 1.74077i −0.164120 + 0.113314i
\(237\) −2.81419 + 6.16221i −0.182801 + 0.400279i
\(238\) 10.7314 + 1.36219i 0.695615 + 0.0882976i
\(239\) 1.51217 + 0.217417i 0.0978139 + 0.0140635i 0.191048 0.981581i \(-0.438811\pi\)
−0.0932341 + 0.995644i \(0.529720\pi\)
\(240\) −2.42006 + 6.38606i −0.156214 + 0.412219i
\(241\) 3.91227 13.3240i 0.252011 0.858272i −0.732172 0.681120i \(-0.761493\pi\)
0.984183 0.177152i \(-0.0566885\pi\)
\(242\) −12.8124 + 3.99340i −0.823613 + 0.256705i
\(243\) 0.415415 + 0.909632i 0.0266489 + 0.0583529i
\(244\) 3.99009 + 2.38158i 0.255439 + 0.152465i
\(245\) 21.1327 24.3885i 1.35012 1.55812i
\(246\) −2.83898 17.6661i −0.181007 1.12635i
\(247\) 28.6217 + 18.3941i 1.82116 + 1.17039i
\(248\) 3.72905 + 10.7044i 0.236795 + 0.679727i
\(249\) −0.111971 0.174231i −0.00709588 0.0110414i
\(250\) −16.4915 4.54745i −1.04301 0.287606i
\(251\) 2.80329 + 9.54714i 0.176942 + 0.602610i 0.999428 + 0.0338241i \(0.0107686\pi\)
−0.822485 + 0.568786i \(0.807413\pi\)
\(252\) 3.91983 9.39365i 0.246926 0.591744i
\(253\) 0.0334856 + 5.89390i 0.00210522 + 0.370546i
\(254\) −4.61651 6.92873i −0.289666 0.434747i
\(255\) −0.722938 2.46210i −0.0452721 0.154183i
\(256\) 12.2011 10.3505i 0.762569 0.646906i
\(257\) −9.28081 + 5.96442i −0.578921 + 0.372050i −0.797090 0.603861i \(-0.793628\pi\)
0.218168 + 0.975911i \(0.429992\pi\)
\(258\) 5.51676 4.94240i 0.343458 0.307700i
\(259\) −12.0886 7.76887i −0.751149 0.482734i
\(260\) −12.8140 + 11.8677i −0.794688 + 0.736004i
\(261\) 1.91949 + 1.66325i 0.118813 + 0.102952i
\(262\) 3.15664 + 6.62007i 0.195018 + 0.408989i
\(263\) 2.88199 + 6.31067i 0.177711 + 0.389133i 0.977435 0.211234i \(-0.0677484\pi\)
−0.799724 + 0.600367i \(0.795021\pi\)
\(264\) −3.46101 0.323429i −0.213010 0.0199057i
\(265\) −17.9172 5.26096i −1.10064 0.323178i
\(266\) 25.2136 40.6977i 1.54594 2.49534i
\(267\) 1.33834 + 0.192424i 0.0819051 + 0.0117762i
\(268\) 0.150495 0.0748402i 0.00919296 0.00457159i
\(269\) 17.1643 + 7.83868i 1.04653 + 0.477932i 0.863064 0.505094i \(-0.168542\pi\)
0.183462 + 0.983027i \(0.441270\pi\)
\(270\) −2.41417 + 0.0399346i −0.146922 + 0.00243034i
\(271\) 6.45127 0.927552i 0.391886 0.0563448i 0.0564447 0.998406i \(-0.482024\pi\)
0.335442 + 0.942061i \(0.391114\pi\)
\(272\) −1.30868 + 5.86773i −0.0793503 + 0.355783i
\(273\) 19.6732 17.0470i 1.19068 1.03173i
\(274\) −12.1714 10.1990i −0.735299 0.616145i
\(275\) 2.56254i 0.154527i
\(276\) 3.64342 8.87274i 0.219308 0.534076i
\(277\) 4.73748i 0.284647i 0.989820 + 0.142324i \(0.0454574\pi\)
−0.989820 + 0.142324i \(0.954543\pi\)
\(278\) −17.4289 + 20.7994i −1.04532 + 1.24747i
\(279\) −3.02877 + 2.62444i −0.181328 + 0.157121i
\(280\) 16.9956 + 17.7525i 1.01568 + 1.06092i
\(281\) −11.5440 + 1.65978i −0.688659 + 0.0990143i −0.477756 0.878493i \(-0.658550\pi\)
−0.210903 + 0.977507i \(0.567641\pi\)
\(282\) −0.193156 11.6769i −0.0115023 0.695349i
\(283\) 21.0770 + 9.62554i 1.25290 + 0.572179i 0.927650 0.373450i \(-0.121825\pi\)
0.325247 + 0.945629i \(0.394553\pi\)
\(284\) 16.5005 8.20559i 0.979125 0.486912i
\(285\) −11.2409 1.61620i −0.665855 0.0957355i
\(286\) −7.55712 4.68189i −0.446862 0.276846i
\(287\) −61.7824 18.1410i −3.64690 1.07083i
\(288\) 4.99522 + 2.65476i 0.294346 + 0.156433i
\(289\) 6.12366 + 13.4089i 0.360215 + 0.788762i
\(290\) −5.53539 + 2.63943i −0.325049 + 0.154993i
\(291\) 8.10488 + 7.02292i 0.475117 + 0.411691i
\(292\) −20.6633 22.3108i −1.20923 1.30564i
\(293\) 3.41356 + 2.19376i 0.199422 + 0.128161i 0.636541 0.771243i \(-0.280365\pi\)
−0.437119 + 0.899404i \(0.644001\pi\)
\(294\) −17.8366 19.9094i −1.04025 1.16114i
\(295\) 2.20025 1.41402i 0.128104 0.0823272i
\(296\) 4.92395 6.28743i 0.286199 0.365449i
\(297\) −0.346244 1.17920i −0.0200911 0.0684241i
\(298\) 2.44476 1.62891i 0.141621 0.0943602i
\(299\) 18.4471 16.1689i 1.06682 0.935071i
\(300\) −1.60595 + 3.84856i −0.0927194 + 0.222196i
\(301\) −7.50964 25.5755i −0.432849 1.47415i
\(302\) 1.39971 5.07610i 0.0805443 0.292097i
\(303\) −8.15118 12.6835i −0.468273 0.728647i
\(304\) 21.2160 + 16.0562i 1.21682 + 0.920888i
\(305\) −3.33705 2.14459i −0.191079 0.122799i
\(306\) −2.09860 + 0.337250i −0.119969 + 0.0192793i
\(307\) 0.737244 0.850825i 0.0420767 0.0485591i −0.734321 0.678802i \(-0.762499\pi\)
0.776398 + 0.630243i \(0.217045\pi\)
\(308\) −6.41134 + 10.7415i −0.365320 + 0.612055i
\(309\) 2.66632 + 5.83842i 0.151681 + 0.332136i
\(310\) −2.87935 9.23811i −0.163536 0.524689i
\(311\) −1.30342 + 4.43903i −0.0739100 + 0.251714i −0.988158 0.153441i \(-0.950964\pi\)
0.914248 + 0.405155i \(0.132783\pi\)
\(312\) 8.41553 + 11.7676i 0.476435 + 0.666207i
\(313\) 18.1027 + 2.60278i 1.02323 + 0.147118i 0.633443 0.773789i \(-0.281641\pi\)
0.389782 + 0.920907i \(0.372550\pi\)
\(314\) −0.652162 + 5.13778i −0.0368036 + 0.289942i
\(315\) −3.60958 + 7.90387i −0.203377 + 0.445333i
\(316\) −11.1495 + 7.69801i −0.627207 + 0.433047i
\(317\) −13.0222 + 1.87231i −0.731401 + 0.105160i −0.497946 0.867208i \(-0.665912\pi\)
−0.233455 + 0.972368i \(0.575003\pi\)
\(318\) −6.19200 + 14.1744i −0.347230 + 0.794863i
\(319\) −2.04410 2.35902i −0.114448 0.132080i
\(320\) −10.7021 + 8.48644i −0.598264 + 0.474406i
\(321\) 1.09515i 0.0611251i
\(322\) −23.1783 25.5780i −1.29168 1.42540i
\(323\) −9.99734 −0.556267
\(324\) −0.218998 + 1.98797i −0.0121666 + 0.110443i
\(325\) −8.06008 + 6.98410i −0.447093 + 0.387408i
\(326\) 8.19300 18.7550i 0.453768 1.03874i
\(327\) 2.30271 + 16.0157i 0.127340 + 0.885671i
\(328\) 13.2329 33.2489i 0.730667 1.83586i
\(329\) −38.2295 17.4588i −2.10766 0.962537i
\(330\) 2.94376 + 0.373665i 0.162049 + 0.0205696i
\(331\) 1.57470 10.9523i 0.0865534 0.601992i −0.899670 0.436571i \(-0.856193\pi\)
0.986223 0.165421i \(-0.0528982\pi\)
\(332\) −0.0137000 0.413990i −0.000751885 0.0227206i
\(333\) 2.70912 + 0.795471i 0.148459 + 0.0435915i
\(334\) −3.01257 9.66552i −0.164840 0.528874i
\(335\) −0.130514 + 0.0596037i −0.00713073 + 0.00325650i
\(336\) 16.3606 12.1142i 0.892544 0.660883i
\(337\) −16.0115 13.8740i −0.872201 0.755766i 0.0987332 0.995114i \(-0.468521\pi\)
−0.970934 + 0.239348i \(0.923066\pi\)
\(338\) 2.95341 + 18.3782i 0.160644 + 0.999640i
\(339\) 6.94620 10.8085i 0.377266 0.587037i
\(340\) 1.28222 4.96933i 0.0695381 0.269500i
\(341\) 4.14343 2.66282i 0.224380 0.144200i
\(342\) −2.50059 + 9.06848i −0.135217 + 0.490367i
\(343\) −58.1169 + 17.0647i −3.13802 + 0.921406i
\(344\) 14.5404 2.83291i 0.783964 0.152740i
\(345\) −3.35904 + 7.46724i −0.180844 + 0.402023i
\(346\) 2.74053 + 4.11315i 0.147332 + 0.221124i
\(347\) −16.2455 + 4.77012i −0.872107 + 0.256074i −0.687011 0.726647i \(-0.741078\pi\)
−0.185096 + 0.982721i \(0.559259\pi\)
\(348\) 1.59154 + 4.82393i 0.0853153 + 0.258590i
\(349\) −9.20288 14.3200i −0.492619 0.766530i 0.502566 0.864539i \(-0.332389\pi\)
−0.995186 + 0.0980082i \(0.968753\pi\)
\(350\) 10.0139 + 11.1777i 0.535267 + 0.597471i
\(351\) −2.76532 + 4.30292i −0.147602 + 0.229673i
\(352\) −5.61223 4.10312i −0.299133 0.218697i
\(353\) −1.95923 + 2.26108i −0.104280 + 0.120345i −0.805490 0.592609i \(-0.798098\pi\)
0.701211 + 0.712954i \(0.252643\pi\)
\(354\) −0.932445 1.95551i −0.0495589 0.103934i
\(355\) −14.3097 + 6.53503i −0.759481 + 0.346843i
\(356\) 2.10116 + 1.70232i 0.111361 + 0.0902225i
\(357\) −2.15501 + 7.33931i −0.114055 + 0.388437i
\(358\) 9.81497 + 6.08070i 0.518737 + 0.321375i
\(359\) 1.59742 11.1103i 0.0843088 0.586380i −0.903248 0.429119i \(-0.858824\pi\)
0.987557 0.157262i \(-0.0502666\pi\)
\(360\) −4.18691 2.40604i −0.220669 0.126810i
\(361\) −10.4872 + 22.9638i −0.551959 + 1.20862i
\(362\) −7.06017 + 0.116788i −0.371074 + 0.00613822i
\(363\) −1.35051 9.39301i −0.0708835 0.493005i
\(364\) 51.2596 9.10968i 2.68674 0.477477i
\(365\) 16.9997 + 19.6187i 0.889806 + 1.02689i
\(366\) −2.11036 + 2.51848i −0.110310 + 0.131643i
\(367\) −10.0708 −0.525692 −0.262846 0.964838i \(-0.584661\pi\)
−0.262846 + 0.964838i \(0.584661\pi\)
\(368\) 15.3520 11.5029i 0.800276 0.599632i
\(369\) 12.6521 0.658640
\(370\) −4.37858 + 5.22533i −0.227631 + 0.271652i
\(371\) 36.4524 + 42.0684i 1.89252 + 2.18408i
\(372\) −7.89161 + 1.40247i −0.409161 + 0.0727147i
\(373\) 0.711113 + 4.94590i 0.0368200 + 0.256089i 0.999915 0.0130745i \(-0.00416187\pi\)
−0.963094 + 0.269164i \(0.913253\pi\)
\(374\) 2.61188 0.0432050i 0.135057 0.00223408i
\(375\) 5.02505 11.0033i 0.259492 0.568209i
\(376\) 11.6376 20.2513i 0.600163 1.04438i
\(377\) −1.84882 + 12.8588i −0.0952189 + 0.662262i
\(378\) 6.11839 + 3.79054i 0.314696 + 0.194964i
\(379\) 4.51073 15.3621i 0.231700 0.789099i −0.758768 0.651361i \(-0.774198\pi\)
0.990469 0.137738i \(-0.0439833\pi\)
\(380\) −17.6479 14.2980i −0.905319 0.733472i
\(381\) 5.35523 2.44565i 0.274357 0.125295i
\(382\) 9.11424 + 19.1143i 0.466325 + 0.977972i
\(383\) 14.1351 16.3128i 0.722271 0.833545i −0.269307 0.963054i \(-0.586795\pi\)
0.991578 + 0.129509i \(0.0413401\pi\)
\(384\) 5.85730 + 9.67946i 0.298904 + 0.493953i
\(385\) 5.77336 8.98352i 0.294238 0.457843i
\(386\) −4.00026 4.46514i −0.203608 0.227270i
\(387\) 2.83158 + 4.40603i 0.143937 + 0.223971i
\(388\) 6.72013 + 20.3687i 0.341163 + 1.03406i
\(389\) 20.6329 6.05838i 1.04613 0.307172i 0.286878 0.957967i \(-0.407383\pi\)
0.759253 + 0.650795i \(0.225564\pi\)
\(390\) −6.84778 10.2775i −0.346751 0.520423i
\(391\) −1.99141 + 6.92746i −0.100710 + 0.350337i
\(392\) −10.2237 52.4746i −0.516374 2.65037i
\(393\) −4.97596 + 1.46107i −0.251004 + 0.0737014i
\(394\) 5.95367 21.5912i 0.299942 1.08775i
\(395\) 9.72994 6.25305i 0.489566 0.314625i
\(396\) 0.614107 2.38001i 0.0308600 0.119600i
\(397\) −0.0675518 + 0.105113i −0.00339033 + 0.00527545i −0.842945 0.538000i \(-0.819180\pi\)
0.839554 + 0.543276i \(0.182816\pi\)
\(398\) 2.70279 + 16.8186i 0.135478 + 0.843040i
\(399\) 25.5842 + 22.1689i 1.28081 + 1.10983i
\(400\) −6.70290 + 4.96315i −0.335145 + 0.248158i
\(401\) −6.19735 + 2.83023i −0.309481 + 0.141335i −0.564101 0.825706i \(-0.690777\pi\)
0.254620 + 0.967041i \(0.418050\pi\)
\(402\) 0.0353650 + 0.113465i 0.00176384 + 0.00565911i
\(403\) −19.6682 5.77512i −0.979745 0.287679i
\(404\) −0.997320 30.1373i −0.0496185 1.49939i
\(405\) 0.242976 1.68993i 0.0120736 0.0839734i
\(406\) 18.1348 + 2.30194i 0.900017 + 0.114243i
\(407\) −3.15645 1.44150i −0.156459 0.0714526i
\(408\) −3.94972 1.57198i −0.195541 0.0778245i
\(409\) 0.210989 + 1.46746i 0.0104328 + 0.0725614i 0.994373 0.105939i \(-0.0337847\pi\)
−0.983940 + 0.178500i \(0.942876\pi\)
\(410\) −12.2289 + 27.9939i −0.603944 + 1.38252i
\(411\) 8.48599 7.35315i 0.418583 0.362704i
\(412\) −1.40563 + 12.7597i −0.0692503 + 0.628625i
\(413\) −7.79641 −0.383636
\(414\) 5.78573 + 3.53912i 0.284353 + 0.173938i
\(415\) 0.353598i 0.0173574i
\(416\) 2.39017 + 28.8353i 0.117187 + 1.41377i
\(417\) −12.5657 14.5016i −0.615344 0.710145i
\(418\) 4.62800 10.5942i 0.226363 0.518179i
\(419\) −26.2913 + 3.78012i −1.28442 + 0.184671i −0.750502 0.660868i \(-0.770188\pi\)
−0.533914 + 0.845539i \(0.679279\pi\)
\(420\) −14.3007 + 9.87374i −0.697803 + 0.481789i
\(421\) −1.71480 + 3.75488i −0.0835742 + 0.183002i −0.946805 0.321807i \(-0.895710\pi\)
0.863231 + 0.504809i \(0.168437\pi\)
\(422\) −2.59846 + 20.4709i −0.126491 + 0.996506i
\(423\) 8.17388 + 1.17523i 0.397428 + 0.0571415i
\(424\) −25.1632 + 17.9954i −1.22203 + 0.873933i
\(425\) 0.882905 3.00690i 0.0428272 0.145856i
\(426\) 3.87746 + 12.4404i 0.187864 + 0.602741i
\(427\) 4.91211 + 10.7560i 0.237713 + 0.520520i
\(428\) 1.12257 1.88075i 0.0542616 0.0909095i
\(429\) 4.11652 4.75072i 0.198748 0.229367i
\(430\) −12.4856 + 2.00647i −0.602111 + 0.0967607i
\(431\) −0.895125 0.575262i −0.0431166 0.0277094i 0.518905 0.854832i \(-0.326340\pi\)
−0.562022 + 0.827123i \(0.689976\pi\)
\(432\) −2.41385 + 3.18956i −0.116137 + 0.153458i
\(433\) 5.13790 + 7.99473i 0.246912 + 0.384202i 0.942483 0.334255i \(-0.108485\pi\)
−0.695571 + 0.718458i \(0.744848\pi\)
\(434\) −7.66761 + 27.8068i −0.368057 + 1.33477i
\(435\) −1.22168 4.16066i −0.0585750 0.199488i
\(436\) −12.4622 + 29.8649i −0.596832 + 1.43027i
\(437\) 24.2270 + 20.7530i 1.15894 + 0.992753i
\(438\) 17.8946 11.9229i 0.855036 0.569698i
\(439\) 5.92368 + 20.1742i 0.282722 + 0.962862i 0.971331 + 0.237730i \(0.0764032\pi\)
−0.688610 + 0.725132i \(0.741779\pi\)
\(440\) 4.67244 + 3.65919i 0.222750 + 0.174445i
\(441\) 15.9009 10.2189i 0.757185 0.486613i
\(442\) −7.25445 8.09750i −0.345059 0.385159i
\(443\) −30.0759 19.3286i −1.42895 0.918329i −0.999887 0.0150541i \(-0.995208\pi\)
−0.429062 0.903275i \(-0.641156\pi\)
\(444\) 3.83712 + 4.14307i 0.182102 + 0.196621i
\(445\) −1.74462 1.51172i −0.0827028 0.0716624i
\(446\) −33.4791 + 15.9638i −1.58528 + 0.755907i
\(447\) 0.862934 + 1.88956i 0.0408154 + 0.0893733i
\(448\) 40.5144 4.03397i 1.91413 0.190587i
\(449\) 31.8187 + 9.34281i 1.50162 + 0.440914i 0.926227 0.376966i \(-0.123033\pi\)
0.575389 + 0.817880i \(0.304851\pi\)
\(450\) −2.50669 1.55298i −0.118166 0.0732080i
\(451\) −15.3909 2.21288i −0.724729 0.104200i
\(452\) 23.0082 11.4418i 1.08222 0.538178i
\(453\) 3.38684 + 1.54672i 0.159127 + 0.0726711i
\(454\) −0.161094 9.73862i −0.00756051 0.457056i
\(455\) −43.9913 + 6.32500i −2.06234 + 0.296520i
\(456\) −13.5900 + 13.0105i −0.636408 + 0.609274i
\(457\) −20.3785 + 17.6580i −0.953264 + 0.826008i −0.984835 0.173494i \(-0.944494\pi\)
0.0315712 + 0.999502i \(0.489949\pi\)
\(458\) −18.1728 + 21.6872i −0.849160 + 1.01337i
\(459\) 1.50297i 0.0701528i
\(460\) −13.4229 + 9.38071i −0.625845 + 0.437378i
\(461\) 35.8359i 1.66904i −0.550975 0.834522i \(-0.685744\pi\)
0.550975 0.834522i \(-0.314256\pi\)
\(462\) −6.77988 5.68121i −0.315428 0.264314i
\(463\) 23.0679 19.9884i 1.07205 0.928941i 0.0743891 0.997229i \(-0.476299\pi\)
0.997666 + 0.0682886i \(0.0217539\pi\)
\(464\) −2.21151 + 9.91577i −0.102667 + 0.460328i
\(465\) 6.77263 0.973757i 0.314073 0.0451569i
\(466\) −33.3492 + 0.551655i −1.54487 + 0.0255549i
\(467\) −27.9994 12.7869i −1.29566 0.591706i −0.356211 0.934406i \(-0.615932\pi\)
−0.939445 + 0.342699i \(0.888659\pi\)
\(468\) −9.15968 + 4.55504i −0.423406 + 0.210557i
\(469\) 0.423348 + 0.0608682i 0.0195484 + 0.00281063i
\(470\) −10.5008 + 16.9496i −0.484367 + 0.781826i
\(471\) −3.51377 1.03174i −0.161906 0.0475399i
\(472\) 0.403150 4.31410i 0.0185565 0.198572i
\(473\) −2.67392 5.85507i −0.122947 0.269216i
\(474\) −4.12345 8.64766i −0.189397 0.397200i
\(475\) −10.4818 9.08254i −0.480938 0.416735i
\(476\) −11.2240 + 10.3952i −0.514452 + 0.476462i
\(477\) −9.20116 5.91323i −0.421292 0.270748i
\(478\) −1.60918 + 1.44165i −0.0736024 + 0.0659395i
\(479\) −14.5694 + 9.36316i −0.665691 + 0.427814i −0.829370 0.558700i \(-0.811300\pi\)
0.163679 + 0.986514i \(0.447664\pi\)
\(480\) −4.72409 8.42378i −0.215624 0.384491i
\(481\) 4.06874 + 13.8569i 0.185519 + 0.631819i
\(482\) 10.8891 + 16.3430i 0.495986 + 0.744405i
\(483\) 20.4577 13.3122i 0.930858 0.605726i
\(484\) 7.30893 17.5154i 0.332224 0.796155i
\(485\) −5.15844 17.5680i −0.234233 0.797723i
\(486\) −1.36333 0.375933i −0.0618420 0.0170526i
\(487\) 3.94345 + 6.13612i 0.178695 + 0.278054i 0.919033 0.394180i \(-0.128971\pi\)
−0.740339 + 0.672234i \(0.765335\pi\)
\(488\) −6.20578 + 2.16189i −0.280922 + 0.0978643i
\(489\) 12.1746 + 7.82414i 0.550555 + 0.353820i
\(490\) 7.24115 + 45.0594i 0.327122 + 2.03558i
\(491\) 22.4838 25.9477i 1.01468 1.17100i 0.0294867 0.999565i \(-0.490613\pi\)
0.985195 0.171440i \(-0.0548418\pi\)
\(492\) 21.7280 + 12.9689i 0.979575 + 0.584683i
\(493\) −1.58577 3.47236i −0.0714197 0.156387i
\(494\) −45.9358 + 14.3174i −2.06675 + 0.644169i
\(495\) −0.591146 + 2.01326i −0.0265701 + 0.0904893i
\(496\) −14.9902 5.68071i −0.673082 0.255071i
\(497\) 46.4164 + 6.67367i 2.08206 + 0.299355i
\(498\) 0.290564 + 0.0368826i 0.0130205 + 0.00165275i
\(499\) 2.05723 4.50470i 0.0920942 0.201658i −0.857979 0.513684i \(-0.828280\pi\)
0.950074 + 0.312026i \(0.101008\pi\)
\(500\) 19.9086 13.7457i 0.890341 0.614724i
\(501\) 7.08597 1.01881i 0.316578 0.0455170i
\(502\) −12.8950 5.63309i −0.575532 0.251417i
\(503\) −9.92343 11.4522i −0.442464 0.510630i 0.490085 0.871675i \(-0.336966\pi\)
−0.932549 + 0.361044i \(0.882420\pi\)
\(504\) 6.62194 + 12.7813i 0.294965 + 0.569324i
\(505\) 25.7409i 1.14546i
\(506\) −6.41918 5.31718i −0.285367 0.236378i
\(507\) −13.1621 −0.584547
\(508\) 11.7037 + 1.28930i 0.519268 + 0.0572034i
\(509\) 10.4350 9.04200i 0.462524 0.400780i −0.392185 0.919886i \(-0.628281\pi\)
0.854709 + 0.519107i \(0.173735\pi\)
\(510\) 3.32547 + 1.45271i 0.147254 + 0.0643271i
\(511\) −11.0127 76.5948i −0.487172 3.38835i
\(512\) 0.137181 + 22.6270i 0.00606259 + 0.999982i
\(513\) −6.05060 2.76322i −0.267141 0.121999i
\(514\) 1.96464 15.4776i 0.0866566 0.682687i
\(515\) 1.55952 10.8467i 0.0687209 0.477964i
\(516\) 0.346452 + 10.4692i 0.0152517 + 0.460880i
\(517\) −9.73776 2.85926i −0.428266 0.125750i
\(518\) 19.4013 6.04705i 0.852446 0.265692i
\(519\) −3.17907 + 1.45183i −0.139546 + 0.0637283i
\(520\) −1.22512 24.6694i −0.0537250 1.08182i
\(521\) −14.3153 12.4043i −0.627163 0.543440i 0.282246 0.959342i \(-0.408921\pi\)
−0.909409 + 0.415902i \(0.863466\pi\)
\(522\) −3.54639 + 0.569912i −0.155221 + 0.0249444i
\(523\) −21.3952 + 33.2915i −0.935546 + 1.45574i −0.0459735 + 0.998943i \(0.514639\pi\)
−0.889572 + 0.456795i \(0.848997\pi\)
\(524\) −10.0431 2.59139i −0.438736 0.113205i
\(525\) −8.92718 + 5.73715i −0.389614 + 0.250390i
\(526\) −9.45827 2.60807i −0.412400 0.113717i
\(527\) 5.77938 1.69698i 0.251754 0.0739216i
\(528\) 3.49425 3.45783i 0.152068 0.150483i
\(529\) 19.2063 12.6538i 0.835056 0.550165i
\(530\) 21.9770 14.6430i 0.954621 0.636051i
\(531\) 1.46986 0.431589i 0.0637863 0.0187293i
\(532\) 21.2131 + 64.2966i 0.919703 + 2.78761i
\(533\) 34.9870 + 54.4408i 1.51545 + 2.35809i
\(534\) −1.42421 + 1.27593i −0.0616315 + 0.0552149i
\(535\) −1.01087 + 1.57294i −0.0437036 + 0.0680041i
\(536\) −0.0555722 + 0.231109i −0.00240035 + 0.00998240i
\(537\) −5.34642 + 6.17009i −0.230715 + 0.266259i
\(538\) −24.0873 + 11.4855i −1.03848 + 0.495176i
\(539\) −21.1303 + 9.64989i −0.910147 + 0.415650i
\(540\) 2.14953 2.65314i 0.0925008 0.114173i
\(541\) −1.38352 + 4.71183i −0.0594821 + 0.202577i −0.983873 0.178870i \(-0.942756\pi\)
0.924391 + 0.381447i \(0.124574\pi\)
\(542\) −4.85431 + 7.83543i −0.208510 + 0.336561i
\(543\) 0.710575 4.94215i 0.0304937 0.212088i
\(544\) −5.17171 6.74827i −0.221735 0.289330i
\(545\) 11.4758 25.1285i 0.491570 1.07639i
\(546\) 0.608885 + 36.8089i 0.0260579 + 1.57528i
\(547\) 1.20907 + 8.40926i 0.0516960 + 0.359554i 0.999207 + 0.0398291i \(0.0126814\pi\)
−0.947510 + 0.319725i \(0.896410\pi\)
\(548\) 22.1107 3.92944i 0.944523 0.167857i
\(549\) −1.52150 1.75591i −0.0649361 0.0749403i
\(550\) 2.77770 + 2.32758i 0.118442 + 0.0992483i
\(551\) −16.8943 −0.719722
\(552\) 6.30837 + 12.0085i 0.268502 + 0.511117i
\(553\) −34.4773 −1.46612
\(554\) −5.13525 4.30309i −0.218176 0.182821i
\(555\) −3.15681 3.64315i −0.133999 0.154643i
\(556\) −6.71495 37.7846i −0.284777 1.60242i
\(557\) −2.73639 19.0320i −0.115945 0.806412i −0.961948 0.273234i \(-0.911907\pi\)
0.846003 0.533178i \(-0.179002\pi\)
\(558\) −0.0937401 5.66687i −0.00396833 0.239898i
\(559\) −11.1285 + 24.3681i −0.470687 + 1.03066i
\(560\) −34.6803 + 2.29784i −1.46551 + 0.0971014i
\(561\) −0.262874 + 1.82833i −0.0110985 + 0.0771920i
\(562\) 8.68641 14.0209i 0.366414 0.591436i
\(563\) 12.2016 41.5549i 0.514237 1.75133i −0.135101 0.990832i \(-0.543136\pi\)
0.649338 0.760500i \(-0.275046\pi\)
\(564\) 12.8328 + 10.3968i 0.540356 + 0.437786i
\(565\) −19.9534 + 9.11240i −0.839445 + 0.383362i
\(566\) −29.5781 + 14.1037i −1.24326 + 0.592823i
\(567\) −3.33281 + 3.84627i −0.139965 + 0.161528i
\(568\) −6.09302 + 25.3391i −0.255657 + 1.06321i
\(569\) −4.22033 + 6.56696i −0.176925 + 0.275301i −0.918378 0.395704i \(-0.870501\pi\)
0.741453 + 0.671005i \(0.234137\pi\)
\(570\) 11.9621 10.7167i 0.501039 0.448875i
\(571\) 10.5619 + 16.4346i 0.442000 + 0.687766i 0.988758 0.149525i \(-0.0477745\pi\)
−0.546758 + 0.837291i \(0.684138\pi\)
\(572\) 11.9392 3.93904i 0.499203 0.164699i
\(573\) −14.3672 + 4.21859i −0.600198 + 0.176234i
\(574\) 75.7817 50.4923i 3.16307 2.10751i
\(575\) −8.38148 + 5.45398i −0.349532 + 0.227447i
\(576\) −7.41487 + 3.00329i −0.308953 + 0.125137i
\(577\) 33.8553 9.94080i 1.40941 0.413841i 0.513507 0.858085i \(-0.328346\pi\)
0.895906 + 0.444244i \(0.146528\pi\)
\(578\) −20.0970 5.54165i −0.835924 0.230502i
\(579\) 3.56614 2.29182i 0.148204 0.0952448i
\(580\) 2.16680 8.39757i 0.0899714 0.348690i
\(581\) 0.569860 0.886719i 0.0236418 0.0367873i
\(582\) −14.9743 + 2.40641i −0.620706 + 0.0997488i
\(583\) 10.1587 + 8.80259i 0.420731 + 0.364566i
\(584\) 42.9527 2.13310i 1.77740 0.0882682i
\(585\) 7.94354 3.62769i 0.328425 0.149987i
\(586\) −5.47852 + 1.70756i −0.226316 + 0.0705385i
\(587\) 16.9858 + 4.98749i 0.701080 + 0.205856i 0.612798 0.790240i \(-0.290044\pi\)
0.0882823 + 0.996095i \(0.471862\pi\)
\(588\) 37.7822 1.25031i 1.55811 0.0515619i
\(589\) 3.79377 26.3863i 0.156320 1.08723i
\(590\) −0.465768 + 3.66935i −0.0191754 + 0.151065i
\(591\) 14.4059 + 6.57896i 0.592580 + 0.270622i
\(592\) 2.34286 + 11.0483i 0.0962910 + 0.454083i
\(593\) 5.37827 + 37.4067i 0.220859 + 1.53611i 0.734800 + 0.678284i \(0.237276\pi\)
−0.513941 + 0.857826i \(0.671815\pi\)
\(594\) 1.59271 + 0.695762i 0.0653495 + 0.0285475i
\(595\) 9.86969 8.55214i 0.404618 0.350603i
\(596\) −0.454921 + 4.12958i −0.0186343 + 0.169154i
\(597\) −12.0451 −0.492974
\(598\) 0.770822 + 34.6823i 0.0315213 + 1.41826i
\(599\) 37.1507i 1.51794i 0.651128 + 0.758968i \(0.274296\pi\)
−0.651128 + 0.758968i \(0.725704\pi\)
\(600\) −2.71299 5.23646i −0.110758 0.213778i
\(601\) −17.2741 19.9354i −0.704626 0.813181i 0.284744 0.958604i \(-0.408091\pi\)
−0.989370 + 0.145422i \(0.953546\pi\)
\(602\) 34.5440 + 15.0903i 1.40791 + 0.615034i
\(603\) −0.0831831 + 0.0119599i −0.00338748 + 0.000487046i
\(604\) 4.23093 + 6.12790i 0.172154 + 0.249341i
\(605\) −6.73043 + 14.7376i −0.273631 + 0.599168i
\(606\) 21.1522 + 2.68495i 0.859250 + 0.109069i
\(607\) −20.7590 2.98470i −0.842582 0.121145i −0.292510 0.956262i \(-0.594491\pi\)
−0.550072 + 0.835117i \(0.685400\pi\)
\(608\) −36.6751 + 8.41336i −1.48737 + 0.341207i
\(609\) −3.64172 + 12.4026i −0.147570 + 0.502577i
\(610\) 5.35573 1.66929i 0.216847 0.0675874i
\(611\) 17.5465 + 38.4214i 0.709854 + 1.55436i
\(612\) 1.54061 2.58113i 0.0622755 0.104336i
\(613\) 19.4429 22.4384i 0.785293 0.906277i −0.212187 0.977229i \(-0.568058\pi\)
0.997480 + 0.0709526i \(0.0226039\pi\)
\(614\) 0.252617 + 1.57196i 0.0101948 + 0.0634390i
\(615\) −18.1719 11.6784i −0.732762 0.470918i
\(616\) −5.81993 16.7063i −0.234492 0.673115i
\(617\) 13.1274 + 20.4267i 0.528490 + 0.822347i 0.998169 0.0604905i \(-0.0192665\pi\)
−0.469678 + 0.882838i \(0.655630\pi\)
\(618\) −8.75047 2.41290i −0.351995 0.0970611i
\(619\) −9.36059 31.8792i −0.376234 1.28134i −0.902380 0.430941i \(-0.858182\pi\)
0.526146 0.850394i \(-0.323636\pi\)
\(620\) 12.6291 + 5.26995i 0.507197 + 0.211646i
\(621\) −3.11996 + 3.64223i −0.125200 + 0.146158i
\(622\) −3.62784 5.44487i −0.145463 0.218319i
\(623\) 1.93869 + 6.60258i 0.0776720 + 0.264527i
\(624\) −20.3995 1.56646i −0.816633 0.0627085i
\(625\) −8.60344 + 5.52909i −0.344137 + 0.221164i
\(626\) −19.2642 + 17.2585i −0.769951 + 0.689789i
\(627\) 6.87710 + 4.41964i 0.274645 + 0.176504i
\(628\) −4.97680 5.37361i −0.198596 0.214430i
\(629\) −3.20713 2.77899i −0.127877 0.110806i
\(630\) −5.28889 11.0918i −0.210714 0.441908i
\(631\) 13.7849 + 30.1847i 0.548768 + 1.20163i 0.957355 + 0.288915i \(0.0932944\pi\)
−0.408587 + 0.912719i \(0.633978\pi\)
\(632\) 1.78281 19.0778i 0.0709163 0.758873i
\(633\) −14.0002 4.11083i −0.556458 0.163391i
\(634\) 9.79869 15.8162i 0.389156 0.628143i
\(635\) −9.94906 1.43046i −0.394816 0.0567660i
\(636\) −9.74030 19.5867i −0.386228 0.776661i
\(637\) 87.9420 + 40.1618i 3.48439 + 1.59127i
\(638\) 4.41376 0.0730114i 0.174742 0.00289055i
\(639\) −9.12031 + 1.31130i −0.360794 + 0.0518744i
\(640\) 0.521814 19.3090i 0.0206265 0.763254i
\(641\) −19.5980 + 16.9817i −0.774074 + 0.670739i −0.949505 0.313753i \(-0.898414\pi\)
0.175431 + 0.984492i \(0.443868\pi\)
\(642\) 1.18710 + 0.994732i 0.0468510 + 0.0392589i
\(643\) 15.2381i 0.600931i −0.953793 0.300466i \(-0.902858\pi\)
0.953793 0.300466i \(-0.0971420\pi\)
\(644\) 48.7786 1.89170i 1.92215 0.0745433i
\(645\) 8.94196i 0.352089i
\(646\) 9.08067 10.8367i 0.357274 0.426366i
\(647\) −18.2086 + 15.7779i −0.715855 + 0.620292i −0.934688 0.355470i \(-0.884321\pi\)
0.218832 + 0.975763i \(0.429775\pi\)
\(648\) −1.95597 2.04308i −0.0768378 0.0802598i
\(649\) −1.86353 + 0.267935i −0.0731498 + 0.0105174i
\(650\) −0.249459 15.0805i −0.00978458 0.591507i
\(651\) −18.5531 8.47290i −0.727152 0.332079i
\(652\) 12.8880 + 25.9163i 0.504732 + 1.01496i
\(653\) −37.0777 5.33097i −1.45096 0.208617i −0.628666 0.777675i \(-0.716399\pi\)
−0.822297 + 0.569058i \(0.807308\pi\)
\(654\) −19.4520 12.0512i −0.760633 0.471238i
\(655\) 8.49550 + 2.49450i 0.331947 + 0.0974683i
\(656\) 24.0209 + 44.5443i 0.937860 + 1.73916i
\(657\) 6.31630 + 13.8308i 0.246422 + 0.539590i
\(658\) 53.6490 25.5814i 2.09145 0.997265i
\(659\) 25.0782 + 21.7304i 0.976909 + 0.846497i 0.988158 0.153440i \(-0.0490352\pi\)
−0.0112487 + 0.999937i \(0.503581\pi\)
\(660\) −3.07888 + 2.85152i −0.119845 + 0.110995i
\(661\) −26.3932 16.9619i −1.02658 0.659741i −0.0849454 0.996386i \(-0.527072\pi\)
−0.941632 + 0.336644i \(0.890708\pi\)
\(662\) 10.4416 + 11.6550i 0.405822 + 0.452984i
\(663\) 6.46717 4.15620i 0.251164 0.161413i
\(664\) 0.461193 + 0.361180i 0.0178978 + 0.0140165i
\(665\) −16.2834 55.4560i −0.631442 2.15049i
\(666\) −3.32298 + 2.21406i −0.128763 + 0.0857929i
\(667\) −3.36524 + 11.7066i −0.130303 + 0.453281i
\(668\) 13.2134 + 5.51376i 0.511242 + 0.213334i
\(669\) −7.38895 25.1644i −0.285673 0.972914i
\(670\) 0.0539387 0.195611i 0.00208384 0.00755710i
\(671\) 1.54375 + 2.40213i 0.0595960 + 0.0927331i
\(672\) −1.72917 + 28.7377i −0.0667043 + 1.10858i
\(673\) 8.10894 + 5.21130i 0.312577 + 0.200881i 0.687517 0.726168i \(-0.258701\pi\)
−0.374941 + 0.927049i \(0.622337\pi\)
\(674\) 29.5823 4.75394i 1.13947 0.183115i
\(675\) 1.36545 1.57581i 0.0525560 0.0606529i
\(676\) −22.6038 13.4917i −0.869379 0.518910i
\(677\) −3.60885 7.90228i −0.138699 0.303709i 0.827517 0.561440i \(-0.189753\pi\)
−0.966217 + 0.257731i \(0.917025\pi\)
\(678\) 5.40671 + 17.3469i 0.207643 + 0.666203i
\(679\) −15.3769 + 52.3688i −0.590110 + 2.00973i
\(680\) 4.22191 + 5.90356i 0.161903 + 0.226391i
\(681\) 6.81709 + 0.980149i 0.261231 + 0.0375594i
\(682\) −0.877118 + 6.90999i −0.0335866 + 0.264597i
\(683\) 13.2598 29.0350i 0.507374 1.11099i −0.466628 0.884454i \(-0.654531\pi\)
0.974002 0.226540i \(-0.0727415\pi\)
\(684\) −7.55858 10.9475i −0.289010 0.418589i
\(685\) −18.9755 + 2.72827i −0.725018 + 0.104242i
\(686\) 34.2907 78.4966i 1.30922 2.99701i
\(687\) −13.1020 15.1205i −0.499872 0.576883i
\(688\) −10.1364 + 18.3344i −0.386446 + 0.698991i
\(689\) 55.9438i 2.13129i
\(690\) −5.04317 10.4236i −0.191990 0.396821i
\(691\) 5.40553 0.205636 0.102818 0.994700i \(-0.467214\pi\)
0.102818 + 0.994700i \(0.467214\pi\)
\(692\) −6.94775 0.765376i −0.264114 0.0290952i
\(693\) 4.72700 4.09597i 0.179564 0.155593i
\(694\) 9.58534 21.9423i 0.363855 0.832919i
\(695\) 4.66229 + 32.4270i 0.176851 + 1.23002i
\(696\) −6.67457 2.65646i −0.252999 0.100693i
\(697\) −17.2973 7.89942i −0.655182 0.299212i
\(698\) 23.8814 + 3.03137i 0.903923 + 0.114739i
\(699\) 3.35645 23.3446i 0.126953 0.882975i
\(700\) −21.2119 + 0.701957i −0.801734 + 0.0265315i
\(701\) −4.85315 1.42501i −0.183301 0.0538220i 0.188794 0.982017i \(-0.439542\pi\)
−0.372095 + 0.928195i \(0.621360\pi\)
\(702\) −2.15244 6.90588i −0.0812385 0.260645i
\(703\) −17.0839 + 7.80193i −0.644330 + 0.294256i
\(704\) 9.54527 2.35655i 0.359751 0.0888157i
\(705\) −10.6552 9.23279i −0.401298 0.347727i
\(706\) −0.671333 4.17749i −0.0252659 0.157222i
\(707\) 41.4842 64.5506i 1.56017 2.42768i
\(708\) 2.96665 + 0.765475i 0.111494 + 0.0287683i
\(709\) 5.18233 3.33048i 0.194626 0.125079i −0.439698 0.898146i \(-0.644915\pi\)
0.634325 + 0.773067i \(0.281278\pi\)
\(710\) 5.91392 21.4470i 0.221945 0.804892i
\(711\) 6.49999 1.90857i 0.243769 0.0715769i
\(712\) −3.75374 + 0.731346i −0.140678 + 0.0274083i
\(713\) −17.5281 7.88479i −0.656434 0.295288i
\(714\) −5.99811 9.00231i −0.224474 0.336903i
\(715\) −10.2976 + 3.02365i −0.385108 + 0.113078i
\(716\) −15.5063 + 5.11590i −0.579496 + 0.191190i
\(717\) −0.825945 1.28520i −0.0308455 0.0479965i
\(718\) 10.5922 + 11.8232i 0.395298 + 0.441236i
\(719\) 20.2630 31.5298i 0.755683 1.17586i −0.223859 0.974622i \(-0.571865\pi\)
0.979541 0.201243i \(-0.0644982\pi\)
\(720\) 6.41107 2.35302i 0.238926 0.0876919i
\(721\) −21.3915 + 24.6871i −0.796660 + 0.919394i
\(722\) −15.3663 32.2260i −0.571873 1.19933i
\(723\) −12.6316 + 5.76864i −0.469773 + 0.214538i
\(724\) 6.28622 7.75904i 0.233626 0.288362i
\(725\) 1.49200 5.08130i 0.0554117 0.188715i
\(726\) 11.4084 + 7.06785i 0.423404 + 0.262313i
\(727\) 1.39326 9.69030i 0.0516730 0.359393i −0.947537 0.319647i \(-0.896436\pi\)
0.999210 0.0397468i \(-0.0126551\pi\)
\(728\) −36.6850 + 63.8379i −1.35964 + 2.36599i
\(729\) 0.415415 0.909632i 0.0153857 0.0336901i
\(730\) −36.7070 + 0.607198i −1.35859 + 0.0224734i
\(731\) −1.12027 7.79164i −0.0414346 0.288184i
\(732\) −0.813072 4.57511i −0.0300520 0.169101i
\(733\) 26.1059 + 30.1278i 0.964243 + 1.11280i 0.993569 + 0.113226i \(0.0361183\pi\)
−0.0293264 + 0.999570i \(0.509336\pi\)
\(734\) 9.14741 10.9164i 0.337637 0.402931i
\(735\) −32.2706 −1.19032
\(736\) −1.47557 + 27.0892i −0.0543902 + 0.998520i
\(737\) 0.103282 0.00380444
\(738\) −11.4920 + 13.7144i −0.423026 + 0.504833i
\(739\) −12.0920 13.9550i −0.444813 0.513341i 0.488423 0.872607i \(-0.337572\pi\)
−0.933235 + 0.359266i \(0.883027\pi\)
\(740\) −1.68696 9.49243i −0.0620139 0.348949i
\(741\) −4.84194 33.6764i −0.177873 1.23713i
\(742\) −78.7106 + 1.30201i −2.88956 + 0.0477984i
\(743\) 5.76739 12.6288i 0.211585 0.463306i −0.773848 0.633371i \(-0.781671\pi\)
0.985433 + 0.170065i \(0.0543978\pi\)
\(744\) 5.64780 9.82809i 0.207058 0.360315i
\(745\) 0.504729 3.51047i 0.0184918 0.128614i
\(746\) −6.00708 3.72159i −0.219935 0.136257i
\(747\) −0.0583491 + 0.198719i −0.00213488 + 0.00727074i
\(748\) −2.32556 + 2.87042i −0.0850308 + 0.104953i
\(749\) 5.06991 2.31535i 0.185250 0.0846010i
\(750\) 7.36289 + 15.4414i 0.268855 + 0.563839i
\(751\) 13.7871 15.9112i 0.503098 0.580606i −0.446220 0.894923i \(-0.647230\pi\)
0.949318 + 0.314317i \(0.101776\pi\)
\(752\) 11.3811 + 31.0091i 0.415027 + 1.13079i
\(753\) 5.37948 8.37064i 0.196039 0.305043i
\(754\) −12.2592 13.6838i −0.446452 0.498335i
\(755\) −3.43676 5.34771i −0.125077 0.194623i
\(756\) −9.66619 + 3.18912i −0.351556 + 0.115987i
\(757\) 23.3382 6.85272i 0.848242 0.249066i 0.171406 0.985200i \(-0.445169\pi\)
0.676836 + 0.736134i \(0.263351\pi\)
\(758\) 12.5548 + 18.8430i 0.456012 + 0.684409i
\(759\) 4.43238 3.88499i 0.160885 0.141016i
\(760\) 31.5283 6.14268i 1.14365 0.222819i
\(761\) 29.6891 8.71752i 1.07623 0.316010i 0.304861 0.952397i \(-0.401390\pi\)
0.771370 + 0.636387i \(0.219572\pi\)
\(762\) −2.21321 + 8.02628i −0.0801761 + 0.290761i
\(763\) −69.2752 + 44.5205i −2.50793 + 1.61175i
\(764\) −28.9977 7.48219i −1.04910 0.270696i
\(765\) −1.38731 + 2.15869i −0.0501582 + 0.0780477i
\(766\) 4.84341 + 30.1390i 0.174999 + 1.08897i
\(767\) 5.92170 + 5.13119i 0.213820 + 0.185276i
\(768\) −15.8124 2.44285i −0.570581 0.0881486i
\(769\) 41.5614 18.9804i 1.49874 0.684452i 0.513890 0.857856i \(-0.328204\pi\)
0.984851 + 0.173404i \(0.0554766\pi\)
\(770\) 4.49381 + 14.4179i 0.161946 + 0.519586i
\(771\) 10.5852 + 3.10811i 0.381218 + 0.111936i
\(772\) 8.47352 0.280411i 0.304969 0.0100922i
\(773\) 0.830148 5.77381i 0.0298583 0.207669i −0.969431